Sommaire du Fascicule no. 1

Error estimates for a partially penalized immersed finite element method for elasticity interface problems
Projector augmented-wave method: an analysis in a one-dimensional setting
Convergence analysis of a LDG method for tempered fractional convection–diffusion equations
Time-optimality by distance-optimality for parabolic control systems
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications
Long-time behaviour of the approximate solution to quasi-convolution Volterra equations
Stable decompositions of h p -BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D
A variational formulation for computing shape derivatives of geometric constraints along rays
Finite element approximation of an obstacle problem for a class of integro–differential operators
Periodic solutions of a hysteresis model for breathing
Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity
Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters
Long-time behavior of numerical solutions to nonlinear fractional ODEs

Sommaire du Fascicule no. 2

A new methodology to create valid time-dependent correlation matrices via isospectral flows
A minimum entropy principle in the compressible multicomponent Euler equations
Ergodic SDEs on submanifolds and related numerical sampling schemes
Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise
Up-wind difference approximation and singularity formation for a slow erosion model
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
A Nitsche-based formulation for fluid-structure interactions with contact
Continuum limit of the nonlocal p -Laplacian evolution problem on random inhomogeneous graphs
Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations
Non-linear analysis of a model for yeast cell communication
Multilevel weighted least squares polynomial approximation
Well-posedness of a non-local model for material flow on conveyor belts
Research Article
Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using P k elements

Sommaire du Fascicule no. 3

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
Numerical approximations for fractional elliptic equations via the method of semigroups
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation
Exact simulation of first exit times for one-dimensional diffusion processes
Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations
Stochastic homogenization of a scalar viscoelastic model exhibiting stress–strain hysteresis
Research Article
Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium
Research Article
Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions
Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems
A Γ -convergence result for fluid-filled fracture propagation
Analysis of the Morley element for the Cahn–Hilliard equation and the Hele-Shaw flow
A remark on Uzawa’s algorithm and an application to mean field games systems

Sommaire du Fascicule no. 4

Computation of the magnetic potential induced by a collection of spherical particles using series expansions
Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology
Numerical analysis of sparse initial data identification for parabolic problems
A finite element method for the generalized Ericksen model of nematic liquid crystals
Research article
Finite element approximation of elliptic homogenization problems in nondivergence-form
Convergence rates of high dimensional Smolyak quadrature
Recovered finite element methods on polygonal and polyhedral meshes
Chemotaxis on networks: Analysis and numerical approximation
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
Convergence of second-order, entropy stable methods for multi-dimensional conservation laws

Sommaire du Fascicule no. 5

T-junction of ferroelectric wires
Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation
On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential
Reduced Basis Greedy Selection Using Random Training Sets
A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary
A model for suspension of clusters of particle pairs
Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems
Trend to equilibrium for systems with small cross-diffusion
A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
A dual hybrid virtual element method for plane elasticity problems
PDE eigenvalue iterations with applications in two-dimensional photonic crystals
Higher-order finite element approximation of the dynamic Laplacian

Sommaire du Fascicule no. 6

Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation
Analysis of cell size effects in atomistic crack propagation
Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs
The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures
Some multiple flow direction algorithms for overland flow on general meshes
Research Article
Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems
Research Article
High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs
Research Article
Projection-based model reduction with dynamically transformed modes
A parameter-robust iterative method for Stokes–Darcy problems retaining local mass conservation
Research Article
Finite element error analysis of surface Stokes equations in stream function formulation
Galerkin–collocation approximation in time for the wave equation and its post-processing
Geometrically intrinsic modeling of shallow water flows
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
Numerical algorithm for the model describing anomalous diffusion in expanding media
Locality of interatomic forces in tight binding models for insulators
Mathematical modelling of acoustic radiation force in transient shear wave elastography in the heart
An optimal transport approach for solving dynamic inverse problems in spaces of measures